Chapter 5.1, Problem 19E

To determine

To describe how you would carry out a simulation to estimate the probability that we would have to randomly select $20$ or more U.S. adult males to find one who is red-green colour-blind.

Explanation of Solution

It is given in the question about $7\%$ of men in United States have some form of red-green colour-blindness. Thus, there is a $7\%$ probability of selecting a person with red-green colour blindness which corresponds with about $\text{7 out of every 100}$ people. Thus, we have,

  $\begin{array}{l}7\%\\ =\frac{7}{100}\end{array}$

Thus, randomly generate two-digit numbers by using slips of papers a random digits table or a random number generator. Now, we select the first two-digit number. If the number is between $\text{00 and 06}$ (including) then the person has red-green colour blindness else the person does not have red-green colour blindness. Thus, repeat until we have obtained a person which is red-green colour blind. We keep track of how many numbers were required until we obtained a person which is red-green colour blind. So, we keep track of how many numbers were required until we obtained a person that is red-green colour blind. Now, repeat many times and estimate the probability as the proportion of trials that required $20$ number or more to obtain a person that is red-green colour blind.